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Finding the Fourth Proportional to 2,797.64, 3,862.25 and 1,960.91

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Solution

The fourth proportional to 2,797.64, 3,862.25 and 1,960.91 is: 2,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.64 : 3,862.25 = 1,960.91 : x
  2. Step 2: Convert to fraction form
    2,797.64/3,862.25 = 1,960.91/x
  3. Step 3: Cross multiply
    2,797.64x = 3,862.25 × 1,960.91
  4. Step 4: Simplify right side
    2,797.64x = 7,573,495.53
  5. Step 5: Solve for x
    x = 7,573,495.53/2,797.64
  6. Step 6: Final answer
    x = 2,707.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.